In the wake of the Newtown, Conn., mass shooting that claimed 26 lives Friday, former Education Secretary Bill Bennett said Sunday that schools should possibly consider arming certain employees to prevent attacks.

"Let's remember the good things here: the heroism of those teachers and that principal," Bennett said on "Meet the Press." "And I'm not so sure -- and I'm sure I'll get mail for this -- I'm not so sure I wouldn't want one person in a school armed, ready for this kind of thing."

"The principal lunged at this guy," Bennett, who served as education secretary under Ronald Reagan, went on. "The school psychologist lunged at the guy. It has to be someone who's trained, responsible. But, my god, if you can prevent this kind of thing, I think you ought to."